Find Angle BAD in a Quadrilateral with Given Angles 71°, 95°, and 120°

To find the measure of angle $∢\text{BAD}$ in quadrilateral $ABCD$, we apply the formula for the sum of interior angles of a quadrilateral:

• The sum of the interior angles in any quadrilateral is $360^\circ$.
• Therefore, we have the equation: $∢\text{BAD} + 71^\circ + 95^\circ + 120^\circ = 360^\circ$.

Solving for $∢\text{BAD}$:

• Add the given angles: $71^\circ + 95^\circ + 120^\circ = 286^\circ$.
• Subtract the sum from $360^\circ$: $360^\circ - 286^\circ = 74^\circ$.

Therefore, the measure of angle $∢\text{BAD}$ is $\boxed{74^\circ}$.

The correct answer to the problem is $\boxed{74}$.